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Finding the Third Proportional to 287,163 and 632,214

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Solution

The third proportional to 287,163 and 632,214 is: 1,391,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,163 : 632,214 = 632,214 : x
  2. Step 2: Convert to fraction form
    287,163/632,214 = 632,214/x
  3. Step 3: Cross multiply
    287,163x = 632,214 × 632,214
  4. Step 4: Simplify right side
    287,163x = 399,694,541,796
  5. Step 5: Solve for x
    x = 399,694,541,796/287,163
  6. Step 6: Final answer
    x = 1,391,873.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.